Question

Triangle DEF contains right angle E. If angle D measures 40° and its adjacent side measures 7.6 units, what is the measure of side EF? Round your answer to the nearest hundredth.

Answer 1

`\\ \rm\longmapsto cot40=(7.6)/(EF)`

`\\ \rm\longmapsto EF=(7.6)/(cot40)`

`\\ \rm\longmapsto EF=(7.6)/(1.19)`

`\\ \rm\longmapsto EF=6.38units`

Answer 2

`\displaystyle 6,38\:units`

Explanation:

You would set your proportion up like so:

`\displaystyle (7,6)/(EF) = cot\:40° \\ \\ 7,6 = EFcot\:40° → 6,3771571969... = (7,6)/(cot\:40°) \\ \\ 6,38 ≈ EF`

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